{"id":"https://openalex.org/W2967976593","doi":"https://doi.org/10.1007/s41468-019-00036-9","title":"Twisty Takens: a geometric characterization of good observations on dense trajectories","display_name":"Twisty Takens: a geometric characterization of good observations on dense trajectories","publication_year":2019,"publication_date":"2019-08-16","ids":{"openalex":"https://openalex.org/W2967976593","doi":"https://doi.org/10.1007/s41468-019-00036-9","mag":"2967976593"},"language":"en","primary_location":{"id":"doi:10.1007/s41468-019-00036-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s41468-019-00036-9","pdf_url":null,"source":{"id":"https://openalex.org/S4210173698","display_name":"Journal of Applied and Computational Topology","issn_l":"2367-1726","issn":["2367-1726","2367-1734"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied and Computational Topology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061556736","display_name":"Boyan Xu","orcid":"https://orcid.org/0000-0003-0064-3447"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Boyan Xu","raw_affiliation_strings":["Department of Mathematics, University of California at Berkeley, Berkeley, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California at Berkeley, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059093851","display_name":"Christopher J. Tralie","orcid":"https://orcid.org/0000-0003-4206-1963"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Christopher J. Tralie","raw_affiliation_strings":["Department of Mathematics, Duke University, Durham, NC, USA"],"raw_orcid":"https://orcid.org/0000-0003-4206-1963","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Duke University, Durham, NC, USA","institution_ids":["https://openalex.org/I170897317"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047810608","display_name":"Alice Antia","orcid":null},"institutions":[{"id":"https://openalex.org/I188497080","display_name":"Carleton College","ror":"https://ror.org/03jep7677","country_code":"US","type":"education","lineage":["https://openalex.org/I188497080"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alice Antia","raw_affiliation_strings":["Carleton College, Northfield, MN, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Carleton College, Northfield, MN, USA","institution_ids":["https://openalex.org/I188497080"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052625968","display_name":"Michael Lin","orcid":"https://orcid.org/0000-0001-7583-3654"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael Lin","raw_affiliation_strings":["Princeton University, Princeton, NJ, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Princeton University, Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017700107","display_name":"Jos\u00e9 A. Perea","orcid":"https://orcid.org/0000-0002-6440-5096"},"institutions":[{"id":"https://openalex.org/I87216513","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993","country_code":"US","type":"education","lineage":["https://openalex.org/I87216513"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jose A. Perea","raw_affiliation_strings":["Department of Computational Mathematics, Science and Engineering, Michigan State University, East Lansing, MI, USA","Department of Mathematics, Michigan State University, East Lansing, MI, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computational Mathematics, Science and Engineering, Michigan State University, East Lansing, MI, USA","institution_ids":["https://openalex.org/I87216513"]},{"raw_affiliation_string":"Department of Mathematics, Michigan State University, East Lansing, MI, USA","institution_ids":["https://openalex.org/I87216513"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5059093851"],"corresponding_institution_ids":["https://openalex.org/I170897317"],"apc_list":{"value":2490,"currency":"EUR","value_usd":3090},"apc_paid":null,"fwci":1.3998,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.83699465,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"3","issue":"4","first_page":"285","last_page":"313"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9732000231742859,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9697999954223633,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.73470139503479},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6138916015625},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.5745446681976318},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5068042874336243},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.4931768774986267},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.45952898263931274},{"id":"https://openalex.org/keywords/quasiperiodic-function","display_name":"Quasiperiodic function","score":0.45821020007133484},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.4305822253227234},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37340378761291504},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22554254531860352},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12113377451896667},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09992262721061707},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09219849109649658}],"concepts":[{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.73470139503479},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6138916015625},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.5745446681976318},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5068042874336243},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.4931768774986267},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.45952898263931274},{"id":"https://openalex.org/C55637507","wikidata":"https://www.wikidata.org/wiki/Q5870963","display_name":"Quasiperiodic function","level":2,"score":0.45821020007133484},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.4305822253227234},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37340378761291504},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22554254531860352},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12113377451896667},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09992262721061707},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09219849109649658},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s41468-019-00036-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s41468-019-00036-9","pdf_url":null,"source":{"id":"https://openalex.org/S4210173698","display_name":"Journal of Applied and Computational Topology","issn_l":"2367-1726","issn":["2367-1726","2367-1734"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied and Computational Topology","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.699999988079071}],"awards":[{"id":"https://openalex.org/G1786514303","display_name":null,"funder_award_id":"DMS-1439786","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2033931967","display_name":null,"funder_award_id":"DMS-1622301","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2718591261","display_name":null,"funder_award_id":"DKA-1447491","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6082620184","display_name":null,"funder_award_id":"HR0011-16-2-003","funder_id":"https://openalex.org/F4320337531","funder_display_name":"Defense Sciences Office, DARPA"},{"id":"https://openalex.org/G8319985097","display_name":null,"funder_award_id":"DMS 1045133","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337531","display_name":"Defense Sciences Office, DARPA","ror":"https://ror.org/0447fe631"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W178103694","https://openalex.org/W1549386224","https://openalex.org/W1572369853","https://openalex.org/W1798863697","https://openalex.org/W1803377658","https://openalex.org/W1991566301","https://openalex.org/W1997054581","https://openalex.org/W2007919714","https://openalex.org/W2013146176","https://openalex.org/W2078290150","https://openalex.org/W2087245461","https://openalex.org/W2090814521","https://openalex.org/W2101642281","https://openalex.org/W2102368730","https://openalex.org/W2126999002","https://openalex.org/W2129831617","https://openalex.org/W2131739315","https://openalex.org/W2396840719","https://openalex.org/W2402319927","https://openalex.org/W2413735606","https://openalex.org/W2523159701","https://openalex.org/W2562179113","https://openalex.org/W2784105384","https://openalex.org/W2891209981","https://openalex.org/W2892377642","https://openalex.org/W2893905706","https://openalex.org/W2904607177","https://openalex.org/W2962912288","https://openalex.org/W2962950339","https://openalex.org/W2963186138","https://openalex.org/W2964292054","https://openalex.org/W3037069092","https://openalex.org/W3040586665","https://openalex.org/W3098633036","https://openalex.org/W3102296041","https://openalex.org/W3124661333","https://openalex.org/W3140579943","https://openalex.org/W4233690291","https://openalex.org/W4233964287","https://openalex.org/W4237255219","https://openalex.org/W4299429830","https://openalex.org/W6600340491","https://openalex.org/W6833003601"],"related_works":["https://openalex.org/W2477909739","https://openalex.org/W2774791677","https://openalex.org/W2062944924","https://openalex.org/W3080840899","https://openalex.org/W2952844933","https://openalex.org/W2322267203","https://openalex.org/W2766222296","https://openalex.org/W3025101483","https://openalex.org/W268559836","https://openalex.org/W109933567"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
